800054746080 has 192 divisors, whose sum is σ = 2631560762880. Its totient is φ = 203931047936.

The previous prime is 800054746067. The next prime is 800054746087. The reversal of 800054746080 is 80647450008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800054746087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16458451 + ... + 16506989.

It is an arithmetic number, because the mean of its divisors is an integer number (13706045640).

Almost surely, 2^800054746080 is an apocalyptic number.

800054746080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800054746080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315780381440).

800054746080 is an abundant number, since it is smaller than the sum of its proper divisors (1831506016800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

800054746080 is a wasteful number, since it uses less digits than its factorization.

800054746080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50073 (or 50065 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 800054746080 in words is "eight hundred billion, fifty-four million, seven hundred forty-six thousand, eighty".